Mock

Stats 1: Mock Quizzes (Consolidated)

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🏆 Mock Quiz 1: Foundation (Weeks 1-4)

Question 1: Central Tendency

Find the median of the following dataset: 12, 15, 11, 19, 22, 14, 18. Accepted Answer: 15

Question 2: Measures of Spread

Calculate the sample variance of 4, 8, 6. Accepted Answer: 4

Question 3: Data Types

“Number of siblings” is what kind of variable?

• Numerical Discrete Accepted Answer: Numerical Discrete

Question 4: Correlation

If $r=-0.95$, the relationship between variables is:

• Strong Negative Linear Accepted Answer: Strong Negative Linear

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🏆 Mock Quiz 2: Probabilistic Foundations (Weeks 5-8)

Question 1: Combinatorics

How many ways to select a captain and a vice-captain from 15 players? Accepted Answer: 210 ($15\times 14$)

Question 2: Basic Probability

Probability of drawing a spade or an ace from a standard deck? Accepted Answer: 0.308 (16/52)

Question 3: Conditional Probability

$P(A|B)=0.6,P(B)=0.5,P(A)=0.4$. Are $A$ and $B$ independent?

• No, since $P(A|B)\ne P(A)$. Accepted Answer: No.

Question 4: Bayes Theorem

In a population, 1% have a disease. A test is 99% accurate for both positive and negative results. Probability a person has the disease given they tested positive? Accepted Answer: 0.5

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🏆 Mock Quiz 3: Distributions (Weeks 9-12)

Question 1: Expectation

For a random variable $X$ with $P(X=0)=0.3,P(X=1)=0.4,P(X=2)=0.3$. Find $E[X]$. Accepted Answer: 1.0

Question 2: Binomial Distribution

$X\sim Bin(20,0.1)$. Calculate $P(X\le 1)$. Accepted Answer: 0.392

Question 3: Poisson Distribution

A bank receives 3 customers per hour on average. Probability of 0 customers in an hour? Accepted Answer: 0.0498 ($e^{-3}$)

Question 4: Continuous Distribution

$X\sim Expo(\lambda =1)$. Find $P(X<1)$. Accepted Answer: 0.632 ($1-e^{-1}$)

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